14501920 has 48 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 5761024.

The previous prime is 14501911. The next prime is 14501923. The reversal of 14501920 is 2910541.

It can be written as a sum of positive squares in 4 ways, for example, as 7595536 + 6906384 = 2756^2 + 2628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14501891 and 14501900.

It is not an unprimeable number, because it can be changed into a prime (14501923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37086 + ... + 37474.

Almost surely, 2^14501920 is an apocalyptic number.

14501920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

14501920 is an abundant number, since it is smaller than the sum of its proper divisors (19994360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14501920 is a wasteful number, since it uses less digits than its factorization.

14501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 14501920 is about 3808.1386529379. The cubic root of 14501920 is about 243.8607106108.

The spelling of 14501920 in words is "fourteen million, five hundred one thousand, nine hundred twenty".